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Finding the Third Proportional to 442.64 and 969.23

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Solution

The third proportional to 442.64 and 969.23 is: 2,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 969.23 = 969.23 : x
  2. Step 2: Convert to fraction form
    442.64/969.23 = 969.23/x
  3. Step 3: Cross multiply
    442.64x = 969.23 × 969.23
  4. Step 4: Simplify right side
    442.64x = 939,415.27
  5. Step 5: Solve for x
    x = 939,415.27/442.64
  6. Step 6: Final answer
    x = 2,122.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.